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Finding the Third Proportional to 185,946,442 and 405,373,714

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Solution

The third proportional to 185,946,442 and 405,373,714 is: 883,737,522.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,946,442 : 405,373,714 = 405,373,714 : x
  2. Step 2: Convert to fraction form
    185,946,442/405,373,714 = 405,373,714/x
  3. Step 3: Cross multiply
    185,946,442x = 405,373,714 × 405,373,714
  4. Step 4: Simplify right side
    185,946,442x = 164,327,848,002,153,792
  5. Step 5: Solve for x
    x = 164,327,848,002,153,792/185,946,442
  6. Step 6: Final answer
    x = 883,737,522.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.